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简介 8{^GC(W{] x~,?Zj)n?C 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 x-k/rZ UVRV7^eTe 模型 \A"a>e R_&V.\e_ 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 p+1B6 j ?fwr:aP~ Table 1. AZ眼睛模型的定义 <^$b1<@ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. S^_yiV
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0V 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 78A4n C zT 40,rk ,tc]E45 图1. 光源和提示信息使用 V^H47O;VC 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 iFT3fP'> 5 5%$kAJZC- 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 c=mFYsSv C
/VXyl@o 图2. 字母F光源的设定方法光 vx ,6::%] C8SNSeg 图3. 字母F在视网膜上位置点列图 |-?b)yuAz 视网膜的散射 _$x *CP0( Yhdt8[ 2 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 35\0g& Qx#)c%v\\ V3nv5/6 图4. 视网膜朗伯散射设定 _dY}86{ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 2 z l X*;p;N RozsRt;i 图5. 视网膜重点采样规格设定 hkm3\wg 脚本 7~g0{W>Zm XBBRB<l) 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: t)ry)[Dxv r F-yD1 图6. 用户对话框的创建与编辑 UY^f|f& 图7. 用户对话框编辑器 l0,O4k2 ' 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 -M9
4 F 余下的脚本计算与屈光度有关的所有参数。 jP]'gQ!-w uSbg*OA 分析 g9Ll>d)tE3 {RO=4ba{J 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 jV8><5C kE|#mI[> 图7. 字母F在视网膜上颜色分析 od|.E$B 脚本代码 9dv~WtH>5 (\_d'Js(; Option Explicit 'Remove this to enable non-dimensioned variables to be used. w|e i*L S]{Z_|h*j Dim entity As T_ENTITY 1Sr}2@> Dim op As T_OPERATION n*uZ=M_/Q Dim mat As T_MODELMATERIAL O2B$c\pw Dim A As Double C<)&qx3 Dim pupilDiam As Double 1+#8} z: Dim eID As Long zAIC5fvu Dim parID As Long Fx\Re]~n Dim count As Integer {,-# ;A*yW Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Plv+ mb Dim tlens As Double, nlens As Double )<&QcO_ Dim curv As Double, conic As Double u?i1n=Ne Dim ok As Long 4]R3*F :-8u*5QK]` Sub Main vUA,` _X/`4 G '用户输入对话框 c`Cn9bX Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 .j.=|5nVo4 TextBox 220,21,40,21,.TextBox1 'default: 0 '{~ej: Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 4 n(
f/ OKButton 40,91,90,21 ];YOP%2 CancelButton 190,91,90,21 jTIn@Q Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 wOP}SMn TextBox 220,49,40,21,.TextBox2 'default: 4 5{[0Clb) End Dialog l+,rc*-j0 Dim dlg As UserDialog b/`'?|
C 6P8X)3CE<T ok = Dialog (dlg) M`F L&Ac |d8o<Q If ok=0 Then 'cancel button was pressed .nJGxz+X" Print "Execution cancelled." ,#{aAx|] End NgKNT}JDv End If .#}R$}e+ 'UKB
pm/ 'Assign accommodation and pupil diameter & use defaults if field left empty a6C~!{'nW If dlg.TextBox1 = "" Then t/w>t! q A = 0 'Default accommodation 8?!Vr1x Else P?
n`n!qZ A = CDbl(dlg.TextBox1) -q27N^A0 End If D]REZuHOI .*{LPfD| If dlg.TextBox2 = "" Then ]MyWB<9M pupilDiam = 4 'Default pupil diameter lDzVc`c Else pe8MG(V pupilDiam = CDbl(dlg.TextBox2) z\, w$Ef+ End If ]2+(i ek<U2C_u# Print " " 6IA~bkc} Print "Accommodation = " & A & " Diopters" \}5\^&}_ Print "Pupil Diameter = " & pupilDiam & " mm" @NZ?D0" A'T! og|5 ' Calculate new parameters with accommodation (Y86q\DQ?| taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness #+$z`C` y!j1xnzki Rant = 12.0 - 0.4*A 'Radius of anterior lens tfO
_b5g CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens SrxX-Hir LdcP0G\"VG Rpost = -5.224557 + 0.2*A 'Radius of posterior lens a[!':-R`s CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens b1+Nm LF8B5<[O tlens = 3.767 + 0.04*A 'Lens thickness rz(DZ V gyIPG2d nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction #*fB~Os: ufmFeeg 'Adjust parameters to account for accommodation 6xwC1V?:0t v?}/WKe+0 '************************************************************************* | jlR], 'Aqueous thickness (Position of Lens) 0>vm&W<?) '************************************************************************* $%/Zm*H eID = FindFullName( "Geometry.Arizona Eye.Lens" ) )57OZ GetCustomElement eID, entity -<.>jX 7J)-WXk parID = FindFullName( "Geometry.Arizona Eye" ) NGNn_1 )<+Z,6 ' Delete any shift(s) in z 2HUoT\M count = 0 3=z'Ih` While GetOperationCount(eID)>count vg<_U&N=-r GetOperation eID, count, op <=p"ck@ If op.Type="ShiftZ" Then ,MdCeA%` DeleteOperation eID,count 3.soCyxmc count=count-1 0=~Ji_5mB End If mR@iGl\\ count=count+1 U^.$k-|k Wend QJxcH$ o9JJ_-O" 'Set new shift in "p<f#s} op.Type = "ShiftZ" {oO!v}] op.val1 = taq C0e<
_6p= op.parent = parID ],#9L
AddOperation eID, op Da.v yp Print "Set aqueous humor thickness = " & taq-0.55 FG?B:Zl%T aXwFQ, '************************************************************************* h)sc-e 'Radius and conic constant of anterior lens rLp0VKPe '************************************************************************* .iw+# eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ?k/Uw'J4u/ GetConic eID, entity, curv, conic }pA0mW9 6x_8m^+m SetConic eID, entity, 1/Rant, CCant _TH'v:C Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant iidK}<o ?=aQG0 '************************************************************************* pDW .Pav 'Radius and conic constant of posterior lens Xod#$'M> '************************************************************************* p=p,sJ/@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) H`kfI"u8 GetConic eID, entity, curv, conic S);bcowf_ d^4!=^HN SetConic eID, entity, 1/Rpost, CCpost 6*CvRb& Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost r" ^P>8 &rjMGk"& '************************************************************************* lBl`R|Gt 'Lens thickness (Position of posterior lens surface) I/t2c=f '************************************************************************* GDhg
VOW( L\!Pa+Iod parID = FindFullName( "Geometry.Arizona Eye.Lens" ) h%Bp%Y9 lRn>/7sg$ ' Delete any z-shift(s) 2wikk]Z count = 0 nD|Bo 9 While GetOperationCount(eID)>count %-> X$,Q
: GetOperation eID, count, op FK>8(M/ If op.Type="ShiftZ" Then o[aRG7C DeleteOperation eID,count S9-FKjU count=count-1 8KN0z< End If kowBB0 count=count+1 _A1r6 Wend bDRl}^aO6 #TXgV0\F 'Set new z-shift W
A-\2 op.Type = "ShiftZ" rMUn ~ op.val1 = tlens iU5M_M$G op.parent = parID (6!W8x7 AddOperation eID, op B/AS|i] sM Print "Set lens thickness = " & tlens `|+!H.3 -6@#Nq_iWU '************************************************************************* VI/77 'Lens index of refraction )$XcO] '************************************************************************* Gg8F>y<[R eID = FindMaterial( "Lens" ) b dP @^Q GetModelMaterial eID, mat "K;f[&xO,o <BEM`2B mat.Nd = nlens 7\H jQ7__ SetModelMaterial eID, mat \$$DM"+:;H Print "Set lens index of refraction = " & nlens <>%2HRn<u "MOM@4\ '************************************************************************* !E#FzY!}Pl 'Pupil diameter @vs+)aRa '************************************************************************* c>mTd{Abi eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) M8(N9)N }fU"s" 'Adjust pupil diameter (trimming volume inner hole) 9bwG3jn4? )G
a5c SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" EIug)S~ ,%6!8vX ' Adjust pupil location to just in front of the lens $MhfGMk!' parID = FindFullName( "Geometry.Arizona Eye" ) N3"O#C eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ]O]6O%.ao count = 0 Nz1u:D] While GetOperationCount(eID)>count LYhjI GetOperation eID, count, op ~+
[T{{ If op.Type="ShiftZ" Then [&eG>zF" DeleteOperation eID,count /fgy 07T count=count-1 yI$KBx/]n End If @^R6}qJ count=count+1 /#TtAkH Wend E &G]R! op.Type = "ShiftZ" "!,)Pv op.val1 = taq-0.01 #l 7(WG op.parent = parID M5c$ AddOperation eID, op mH6\8I "d"6.ND Print "Set pupil diameter = " & pupilDiam 8GlRO4yd oDW)2*8yF 'Update AZ Eye subassembly Description q!f'?yFYK eID = FindFullName( "Geometry.Arizona Eye" ) [$]qJ~kz GetEntity eID, entity B5v5D[ o5 entity.Description = "Accommodation = " & A & "D" tw
k SetEntity eID, entity \&BT#8ELG <*_DC)&79 Update 5LaF'>1yY Print "DONE!" [jnA? Ge: NWue;u^ End Sub C:r3z50 03Uj0.Z|7 如果屈光度是4,光瞳直径是4,则会输出如下数据: <]Btx;} !(A< Accommodation = 4 Diopters dC>[[_ Pupil Diameter = 4 mm /`s{!t#Y Set aqueous humor thickness = 2.81 =[do([A Set anterior lens radius = 10.4 and conic constant = -2.375869 Kt3T~k Set posterior lens radius = -4.424557 and conic constant = -3.081019 #u"$\[ G Set lens thickness = 3.927 ,Jrm85oG Set lens index of refraction = 1.42672 xcE2hK/+ Set pupil diameter = 4 |Ml~_m DONE! T3bYj|rh=
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